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arXiv · 2509.17820

Smaller universal posets

Paul Bastide·Carla Groenland·Rajko Nenadov
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Abstract

We show that there is a constant $C>0$ such that for each integer $n\geq 1$, there is a poset on at most $2^{2n/3+C\sqrt{n}}$ elements that contains each $n$-element poset as an (induced) subposet.

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Paul Bastide, Carla Groenland, Rajko Nenadov. 2026-06-17. Smaller universal posets. https://arxiv.org/abs/2509.17820

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